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Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2 y = 4

Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2 y = 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the exact area of the surface obtained by rotating the curve about the x-axis. X³+1 ≤x≤1 4 3x y = 1 2
Transcribed Image Text:Find the exact area of the surface obtained by rotating the curve about the x-axis. X³+1 ≤x≤1 4 3x y = 1 2
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In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just simplify to 3x^2/4 + 1/3x^2 because shouldn't there be a 1/2 still under the square root?

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